Volume 71, Number 2, July 2005
|Page(s)||332 - 338|
|Section||Geophysics, astronomy, and astrophysics|
|Published online||17 June 2005|
The fractal distribution of haloes
Instituto de Matemáticas y Física Fundamental, CSIC Serrano 113bis, 28006 Madrid, Spain
Accepted: 20 May 2005
We examine the proposal that a model of the large-scale matter distribution consisting of randomly placed haloes with power law profile, as opposed to a fractal model, can account for the observed power law galaxy-galaxy correlations. We conclude that such model, which can actually be considered as a degenerate multifractal model, is not realistic but suggests a new picture of multifractal models, namely, as sets of fractal distributions of haloes. We analyse, according to this picture, the properties of the matter distribution produced in cosmological N-body simulations, with affirmative results; namely, haloes of similar mass have a fractal distribution with a given dimension, which grows as the mass diminishes.
PACS: 98.65.Dx – Superclusters; large-scale structure of the Universe (including voids, pancakes, great wall, etc.) / 05.45.Df – Fractals / 02.50.-r – Probability theory, stochastic processes, and statistics
© EDP Sciences, 2005
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